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Simplifying 4(6x + -8) = 2(16x + -12) Reorder the terms: 4(-8 + 6x) = 2(16x + -12) (-8 * 4 + 6x * 4) = 2(16x + -12) (-32 + 24x) = 2(16x + -12) Reorder the terms: -32 + 24x = 2(-12 + 16x) -32 + 24x = (-12 * 2 + 16x * 2) -32 + 24x = (-24 + 32x) Solving -32 + 24x = -24 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -32 + 24x + -32x = -24 + 32x + -32x Combine like terms: 24x + -32x = -8x -32 + -8x = -24 + 32x + -32x Combine like terms: 32x + -32x = 0 -32 + -8x = -24 + 0 -32 + -8x = -24 Add '32' to each side of the equation. -32 + 32 + -8x = -24 + 32 Combine like terms: -32 + 32 = 0 0 + -8x = -24 + 32 -8x = -24 + 32 Combine like terms: -24 + 32 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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